what is the domain of the function y = √x + 4? -∞ < x < ∞ -4 ≤ x < ∞ 0 ≤ x < ∞ 4 ≤ x < ∞

Explanation:

Step1: Recall square - root domain rule

For $\sqrt{x}$ to be a real - valued function, the expression under the square root must be non - negative. So, $x\geq0$.

Step2: Consider the whole function

The function $y = \sqrt{x}+4$ has the same domain as $\sqrt{x}$ since adding a constant (4 in this case) does not affect the domain.

Answer:

C. $0\leq x<\infty$